On Martinet's singular symplectic structures

W. Domitrz; S. Janeczko

Banach Center Publications (1996)

  • Volume: 33, Issue: 1, page 51-59
  • ISSN: 0137-6934

How to cite

top

Domitrz, W., and Janeczko, S.. "On Martinet's singular symplectic structures." Banach Center Publications 33.1 (1996): 51-59. <http://eudml.org/doc/262714>.

@article{Domitrz1996,
author = {Domitrz, W., Janeczko, S.},
journal = {Banach Center Publications},
keywords = {symplectic spaces; symplectic flag; singular symplectic structure},
language = {eng},
number = {1},
pages = {51-59},
title = {On Martinet's singular symplectic structures},
url = {http://eudml.org/doc/262714},
volume = {33},
year = {1996},
}

TY - JOUR
AU - Domitrz, W.
AU - Janeczko, S.
TI - On Martinet's singular symplectic structures
JO - Banach Center Publications
PY - 1996
VL - 33
IS - 1
SP - 51
EP - 59
LA - eng
KW - symplectic spaces; symplectic flag; singular symplectic structure
UR - http://eudml.org/doc/262714
ER -

References

top
  1. [1] R. Abraham and J. Marsden, Foundations of Mechanics, 2nd ed., Benjamin/Cummings, Reading, 1978. Zbl0393.70001
  2. [2] V. I. Arnold, Lagrangian manifolds with singularities, asymptotic rays and the open swallow tail, Functional Anal. Appl. 15 (1981), 235-246. 
  3. [3] M. Golubitsky and D. Tischler, An example of moduli for singular symplectic forms, Invent. Math. 38 (1977), 219-225. Zbl0345.58002
  4. [4] S. Janeczko, Coisotropic varieties and their generating families, Ann. Inst. H. Poincaré 56 (1992), 429-441. Zbl0812.53036
  5. [5] E. Lerman, R. Montgomery and R. Sjamaar, Examples of singular reduction, preprint, 1991. Zbl0812.58034
  6. [6] J. Martinet, Sur les singularités des formes différentielles, Ann. Inst. Fourier (Grenoble) 20 (1) (1970), 95-178. Zbl0189.10001
  7. [7] J. Martinet, Singularities of Smooth Functions and Maps, Cambridge Univ. Press, Cambridge, 1982. 
  8. [8] J. Moser, On volume elements on manifolds, Trans. Amer. Math. Soc. 120 (1965), 280-296. 
  9. [9] R. Sjamaar and E. Lerman, Stratified symplectic spaces and reduction, Ann. of Math. 134 (1991), 375-442. Zbl0759.58019
  10. [10] V. Guillemin and S. Sternberg, Symplectic Techniques in Physics, Cambridge Univ. Press, Cambridge, 1984. Zbl0576.58012
  11. [11] A. Weinstein, Lectures on Symplectic Manifolds, CBMS Regional Conf. Ser. in Math. 29, Amer. Math. Soc., Providence, R.I., 1977. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.